Paper Abstract and Keywords |
Presentation |
2017-03-09 14:25
Trellis Reduction for Tail-Biting Convolutional Codes Using Characteristic Matrices and Cyclically Shifted Code-Subsequences Masato Tajima IT2016-108 ISEC2016-98 WBS2016-84 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Trellis reduction for tail-biting convolutional codes is investigated. A given tail-biting (TB) convolutional code is regarded as an (n, k) linear block code C. Then a characteristic matrix for C can be computed. Here consider the case where some k characteristic generators, which consist of the main generators and their cyclic shifts, can generate the same code C. We see that these characteristic generators form a (scalar) generator matrix associated with a (polynomial) generator matrix of another convolutional code. In this case, if the constraint length of the obtained generator matrix is smaller than that of the original one, then trellis reduction is accomplished. Even if this kind of reduction is not possible, there are cases where a newly obtained generator matrix contains a monomial factor in some column. Then there is a possibility that the generator matrix is reduced by sweeping the monomial factor out of the column. Note that this operation corresponds to cyclically shifting the corresponding code-subsequence to the left. In this way, the modified TB paths are represented using a reduced trellis with less state complexity. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
tail-biting convolutional codes / tail-biting trellis / characteristic matrix / cyclically shifted code-subsequence / trellis reduction / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 504, IT2016-108, pp. 61-66, March 2017. |
Paper # |
IT2016-108 |
Date of Issue |
2017-03-02 (IT, ISEC, WBS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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IT2016-108 ISEC2016-98 WBS2016-84 |
Conference Information |
Committee |
ISEC WBS IT |
Conference Date |
2017-03-09 - 2017-03-10 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
TOKAI University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
IT |
Conference Code |
2017-03-ISEC-WBS-IT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Trellis Reduction for Tail-Biting Convolutional Codes Using Characteristic Matrices and Cyclically Shifted Code-Subsequences |
Sub Title (in English) |
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tail-biting convolutional codes |
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tail-biting trellis |
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characteristic matrix |
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cyclically shifted code-subsequence |
Keyword(5) |
trellis reduction |
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1st Author's Name |
Masato Tajima |
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Speaker |
Author-1 |
Date Time |
2017-03-09 14:25:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2016-108, ISEC2016-98, WBS2016-84 |
Volume (vol) |
vol.116 |
Number (no) |
no.504(IT), no.505(ISEC), no.506(WBS) |
Page |
pp.61-66 |
#Pages |
6 |
Date of Issue |
2017-03-02 (IT, ISEC, WBS) |
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